Complex Analysis: Analytic Functions
Before this course
Complex arithmetic, calculus and parameterized curves.
Review a prerequisite lesson →- 01Analyticity & Cauchy–Riemann
Use real and imaginary parts to check complex differentiability with the appropriate regularity assumptions.
- 02Contour Integrals, Laurent Terms & Residues
Identify enclosed simple poles, compute residues and account for contour orientation.
After these topics
General contour theorems, Laurent annuli, higher-order poles and branch choices.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.